Paper Citation Record · LEDGER

Illumination bodies on Riemannian manifolds

As of 23 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2606.21112.

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pith.paper-citation-record.v1
2606.21112 v1

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measured 32 of 32 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-26T13:49:10.582022Z

measured 32 of 32 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

32 of 32 outbound references displayed

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Outbound references

Observation f00c985c-c99c-4003-89e7-9e1b5f64c725 · outbound

This paper cites Illumination Bodies in Projective Geometries.

Illumination bodies on Riemannian manifolds Illumination Bodies in Projective Geometries

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-07-04T07:09:37.660903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 15d1ea8e-bd8d-4eca-ad82-eef517231513 · outbound

This paper cites an unresolved cited work.

Illumination bodies on Riemannian manifolds Unresolved cited work

Reference 2

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Observation 22d4cbd4-3a7e-4f46-bcb1-2e393d22c57c · outbound

This paper cites an unresolved cited work.

Illumination bodies on Riemannian manifolds Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation 727074da-a995-4bfa-a558-70dc370814c9 · outbound

This paper cites an unresolved cited work.

Illumination bodies on Riemannian manifolds Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation 0979ef5d-060d-496d-837c-a9d74ed5ec58 · outbound

This paper cites On the second differentiability of convex surfaces.Geom.

Illumination bodies on Riemannian manifolds On the second differentiability of convex surfaces.Geom

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation bff2f2ef-a7cb-4090-a491-ada24b0780c9 · outbound

This paper cites Springer-Verlag, Berlin, 1923.

Illumination bodies on Riemannian manifolds Springer-Verlag, Berlin, 1923

Reference 6

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Observation b1f83298-b548-460b-afff-ae49914c55c5 · outbound

This paper cites Walter de Gruyter & Co., Berlin, 1956.

Illumination bodies on Riemannian manifolds Walter de Gruyter & Co., Berlin, 1956

Reference 7

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Observation e690908e-4aee-43bf-9b5d-5c5d1b146e8a · outbound

This paper cites A modern introduction.

Illumination bodies on Riemannian manifolds A modern introduction

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation e295650a-8b2c-48c7-ba32-0c3051b2ad3f · outbound

This paper cites Ebin.Comparison theorems in Riemannian geometry.

Illumination bodies on Riemannian manifolds Ebin.Comparison theorems in Riemannian geometry

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation 16063062-4a3a-4c71-9871-68b8c73a56bd · outbound

This paper cites On the structure of complete manifolds of nonnegative curvature.Ann.

Illumination bodies on Riemannian manifolds On the structure of complete manifolds of nonnegative curvature.Ann

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation aa525198-e803-4809-b1ee-79101bfddf66 · outbound

This paper cites Bachelier, Paris, 1822.

Illumination bodies on Riemannian manifolds Bachelier, Paris, 1822

Reference 11

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Observation 72643873-43c4-4868-b423-e76640d0c0d7 · outbound

This paper cites Evans and Ronald F.

Illumination bodies on Riemannian manifolds Evans and Ronald F

Reference 12

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Observation 1293c11d-4af7-4d72-82fd-5c068d0d4db0 · outbound

This paper cites Number 221 in Progr.

Illumination bodies on Riemannian manifolds Number 221 in Progr

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation 618f710a-7f5e-498f-a188-b8ad18d9d148 · outbound

This paper cites Riemannian comparison constructions.

Illumination bodies on Riemannian manifolds Riemannian comparison constructions

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation efcf04ba-9e75-4472-bddc-dc01e429922d · outbound

This paper cites Lee.Introduction to Riemannian manifolds.

Illumination bodies on Riemannian manifolds Lee.Introduction to Riemannian manifolds

Reference 15

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Observation b47368c2-81d2-46d7-aa27-701ea9030779 · outbound

This paper cites The Brunn-Minkowski-Firey theory.

Illumination bodies on Riemannian manifolds The Brunn-Minkowski-Firey theory

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation c84df6f6-3c1d-4179-b3f5-b97a3266beba · outbound

This paper cites A note on subsets of positive reach.Math.

Illumination bodies on Riemannian manifolds A note on subsets of positive reach.Math

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation 45c0cecd-61e2-47a6-bc60-7ec56dfb2cb9 · outbound

This paper cites Random points on the boundary of smooth convex bodies.Trans.

Illumination bodies on Riemannian manifolds Random points on the boundary of smooth convex bodies.Trans

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation ac16c670-ac4d-40db-802d-dc25696b0809 · outbound

This paper cites an unresolved cited work.

Illumination bodies on Riemannian manifolds Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation 087309bd-8ab1-4410-adbb-66e21265df29 · outbound

This paper cites Number 151 in Encyclopedia Math.

Illumination bodies on Riemannian manifolds Number 151 in Encyclopedia Math

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation ef21527c-4172-4ea1-8bf4-7d525c3dd855 · outbound

This paper cites The convex floating body.Math.

Illumination bodies on Riemannian manifolds The convex floating body.Math

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation a8a64aed-fa40-4ccf-a7ed-4c6208edc898 · outbound

This paper cites Polytopes with vertices chosen randomly from the boundary of a convex body.

Illumination bodies on Riemannian manifolds Polytopes with vertices chosen randomly from the boundary of a convex body

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation 7b91775c-117f-41e8-b2a5-c2d4fda1b981 · outbound

This paper cites Tube formulas for valuations in complex space forms.

Illumination bodies on Riemannian manifolds Tube formulas for valuations in complex space forms

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation eb5f7070-a538-4cbf-bdf0-c1cc46b55ee8 · outbound

This paper cites Werner.l p-Steiner quermassintegrals.Adv.

Illumination bodies on Riemannian manifolds Werner.l p-Steiner quermassintegrals.Adv

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation ee17f4c4-03e6-460e-9021-36f7ab47db06 · outbound

This paper cites Springer-Verlag, Berlin, 2009.

Illumination bodies on Riemannian manifolds Springer-Verlag, Berlin, 2009

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation de6ca2f5-80bf-4210-a669-8159d528c9ac · outbound

This paper cites On the metric projection onto convex sets in Riemannian spaces.Arch.

Illumination bodies on Riemannian manifolds On the metric projection onto convex sets in Riemannian spaces.Arch

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation 1754c6d0-7fec-42b5-a693-342bfe022108 · outbound

This paper cites Some analytical properties of geodesically convex sets.Abh.

Illumination bodies on Riemannian manifolds Some analytical properties of geodesically convex sets.Abh

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation 05ce0d55-882b-4deb-bc79-16bfe07cacba · outbound

This paper cites Illumination bodies and affine surface area.Studia Math., 110(3):257–269, 1994.

Illumination bodies on Riemannian manifolds Illumination bodies and affine surface area.Studia Math., 110(3):257–269, 1994

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation 941dd5e7-1fae-4f76-80e8-e4f3d3272425 · outbound

This paper cites On the volume of tubes.Amer.

Illumination bodies on Riemannian manifolds On the volume of tubes.Amer

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation abea1371-121e-4d29-b143-e71b5728fc64 · outbound

This paper cites New Orlicz affine isoperimetric inequalities.J.

Illumination bodies on Riemannian manifolds New Orlicz affine isoperimetric inequalities.J

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation 5a38650b-046a-4373-a8b2-f2551e119c51 · outbound

This paper cites Dual Orlicz-Brunn-Minkowski theory: dual Orliczl ϕ affine and geominimal surface areas.J.

Illumination bodies on Riemannian manifolds Dual Orlicz-Brunn-Minkowski theory: dual Orliczl ϕ affine and geominimal surface areas.J

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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Observation fe59c755-e415-4bff-9308-c4b09c54dfa6 · outbound

This paper cites Onl p-affine surface area and curvature measures.Int.

Illumination bodies on Riemannian manifolds Onl p-affine surface area and curvature measures.Int

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-26T13:49:10.582022Z

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